reflection through the origin造句

例句与造句

1. A " reflection through the origin " may be generated as a combination of one reflection along each of the axes.
2. Another is the so-called reflection through the origin; this is an reflection, though it is an involution.
3. I believe that grade involution corresponds to reflection through the origin, but I don't know about the other two.
4. All Platonic solids except the tetrahedron are " centrally symmetric, " meaning they are preserved under reflection through the origin.
5. The'reflection through the origin'is not a reflection in the usual sense in even dimensions, but rather a rotation.
6. It's difficult to find reflection through the origin in a sentence. 用reflection through the origin造句挺难的
7. Reflection through the origin is an orthogonal transformation corresponding to scalar multiplication by-1, and can also be written as-I, where I is the identity matrix.
8. Its symmetry group is the quotient of the spherical triangle group by the reflection through the origin (-" I " ), which is a central element of order 2.
9. In mathematics, "'reflection through the origin "'refers to the point reflection of Euclidean space "'R " "'n " across the origin of the Cartesian coordinate system.
10. The orthogonal group is generated by reflections ( longest element ( element needing the most reflections ) is reflection through the origin ( the map ), though so are other maximal combinations of rotations ( and a reflection, in odd dimension ).
11. Thus in particular the symmetry group of a projective polyhedron is the " rotational " symmetry group of the covering spherical polyhedron; the full symmetry group of the spherical polyhedron is then just the direct product with reflection through the origin, which is the kernel on passage to projective space.
12. The structure of PO differs significantly between odd and even dimension, fundamentally because in even dimension, reflection through the origin is orientation-preserving, while in odd dimension it is orientation-reversing (-I \ in SO ( 2k ) but-I \ not \ in SO ( 2k + 1 ) ).
13. A simple example is that the 4-fold periodicity of the Fourier transform  and the fact that two-fold Fourier transform reverses direction  can be interpreted by considering the Fourier transform as a 90?rotation in the associated time frequency plane : 4 such rotations yield the identity, and 2 such rotations simply reverse direction ( reflection through the origin ).
14. Analogously, it is a longest element of the orthogonal group, with respect to the generating set of reflections : elements of the orthogonal group all have length at most " n " with respect to the generating set of reflections, and reflection through the origin has length " n, " though it is not unique in this : other maximal combinations of rotations ( and possibly reflections ) also have maximal length.